Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 640, 138, 907, 524 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 138, 907, 524 is 1
GCD(640, 138, 907, 524) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 138, 907, 524 is 1
GCD(640, 138, 907, 524) = 1
Given Input numbers are 640, 138, 907, 524
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Greatest Common Divisior
We found the divisors of 640, 138, 907, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 138, 907, 524 is 1.
Therefore, GCD of numbers 640, 138, 907, 524 is 1
Given Input Data is 640, 138, 907, 524
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 907 is 907
Prime Factorization of 524 is 2 x 2 x 131
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(640, 138) = 44160
GCD(640, 138) = ( 640 x 138 ) / 44160
GCD(640, 138) = 88320 / 44160
GCD(640, 138) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 907) = 1814
GCD(2, 907) = ( 2 x 907 ) / 1814
GCD(2, 907) = 1814 / 1814
GCD(2, 907) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
GCD(1, 524) = 524 / 524
GCD(1, 524) = 1
GCD of 640, 138, 907, 524 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 138, 907, 524?
GCD of 640, 138, 907, 524 is 1
2. Where do I get the detailed procedure to find GCD of 640, 138, 907, 524?
You can find a detailed procedure to find GCD of 640, 138, 907, 524 on our page.
3. How to find GCD of 640, 138, 907, 524 on a calculator?
You can find the GCD of 640, 138, 907, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.